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Finding the Fourth Proportional to 10,807.31, 14,914.09 and 5,839.31

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Solution

The fourth proportional to 10,807.31, 14,914.09 and 5,839.31 is: 8,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.31 : 14,914.09 = 5,839.31 : x
  2. Step 2: Convert to fraction form
    10,807.31/14,914.09 = 5,839.31/x
  3. Step 3: Cross multiply
    10,807.31x = 14,914.09 × 5,839.31
  4. Step 4: Simplify right side
    10,807.31x = 87,088,039.46
  5. Step 5: Solve for x
    x = 87,088,039.46/10,807.31
  6. Step 6: Final answer
    x = 8,058.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.